Finding the Fourth Proportional to 103,430,617,893.21, 142,737,774,490.96 and 60,023,542,030.08
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Solution
The fourth proportional to 103,430,617,893.21, 142,737,774,490.96 and 60,023,542,030.08 is: 82,834,531,794.86
Step by Step Solution
- Step 1: Write the proportion equation
103,430,617,893.21 : 142,737,774,490.96 = 60,023,542,030.08 : x - Step 2: Convert to fraction form
103,430,617,893.21/142,737,774,490.96 = 60,023,542,030.08/x - Step 3: Cross multiply
103,430,617,893.21x = 142,737,774,490.96 × 60,023,542,030.08 - Step 4: Simplify right side
103,430,617,893.21x = 8,567,626,806,437,503,565,824 - Step 5: Solve for x
x = 8,567,626,806,437,503,565,824/103,430,617,893.21 - Step 6: Final answer
x = 82,834,531,794.86
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.