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Finding the Fourth Proportional to 78,114.29, 116,485.53 and 77,403.87

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Solution

The fourth proportional to 78,114.29, 116,485.53 and 77,403.87 is: 115,426.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,114.29 : 116,485.53 = 77,403.87 : x
  2. Step 2: Convert to fraction form
    78,114.29/116,485.53 = 77,403.87/x
  3. Step 3: Cross multiply
    78,114.29x = 116,485.53 × 77,403.87
  4. Step 4: Simplify right side
    78,114.29x = 9,016,430,821.00
  5. Step 5: Solve for x
    x = 9,016,430,821.00/78,114.29
  6. Step 6: Final answer
    x = 115,426.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.