Finding the Fourth Proportional to 85,312,312,382.21, 117,729,548,252.39 and 47,249,702,162.06
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Solution
The fourth proportional to 85,312,312,382.21, 117,729,548,252.39 and 47,249,702,162.06 is: 65,203,789,878.27
Step by Step Solution
- Step 1: Write the proportion equation
85,312,312,382.21 : 117,729,548,252.39 = 47,249,702,162.06 : x - Step 2: Convert to fraction form
85,312,312,382.21/117,729,548,252.39 = 47,249,702,162.06/x - Step 3: Cross multiply
85,312,312,382.21x = 117,729,548,252.39 × 47,249,702,162.06 - Step 4: Simplify right side
85,312,312,382.21x = 5,562,686,090,598,709,985,280 - Step 5: Solve for x
x = 5,562,686,090,598,709,985,280/85,312,312,382.21 - Step 6: Final answer
x = 65,203,789,878.27
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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.