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Finding the Fourth Proportional to 78,831.80, 118,320.60 and 39,417.20

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Solution

The fourth proportional to 78,831.80, 118,320.60 and 39,417.20 is: 59,162.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,831.80 : 118,320.60 = 39,417.20 : x
  2. Step 2: Convert to fraction form
    78,831.80/118,320.60 = 39,417.20/x
  3. Step 3: Cross multiply
    78,831.80x = 118,320.60 × 39,417.20
  4. Step 4: Simplify right side
    78,831.80x = 4,663,866,754.32
  5. Step 5: Solve for x
    x = 4,663,866,754.32/78,831.80
  6. Step 6: Final answer
    x = 59,162.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.