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Finding the Fourth Proportional to 78,407.33, 116,781.08 and 78,025.02

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Solution

The fourth proportional to 78,407.33, 116,781.08 and 78,025.02 is: 116,211.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,407.33 : 116,781.08 = 78,025.02 : x
  2. Step 2: Convert to fraction form
    78,407.33/116,781.08 = 78,025.02/x
  3. Step 3: Cross multiply
    78,407.33x = 116,781.08 × 78,025.02
  4. Step 4: Simplify right side
    78,407.33x = 9,111,845,712.50
  5. Step 5: Solve for x
    x = 9,111,845,712.50/78,407.33
  6. Step 6: Final answer
    x = 116,211.66

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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.