Finding the Fourth Proportional to 106,420.24, 159,655.44 and 31,541.02
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Solution
The fourth proportional to 106,420.24, 159,655.44 and 31,541.02 is: 47,318.96
Step by Step Solution
- Step 1: Write the proportion equation
106,420.24 : 159,655.44 = 31,541.02 : x - Step 2: Convert to fraction form
106,420.24/159,655.44 = 31,541.02/x - Step 3: Cross multiply
106,420.24x = 159,655.44 × 31,541.02 - Step 4: Simplify right side
106,420.24x = 5,035,695,426.15 - Step 5: Solve for x
x = 5,035,695,426.15/106,420.24 - Step 6: Final answer
x = 47,318.96
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.