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Finding the Fourth Proportional to 78,140.60, 107,834.52 and 42,330.59

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Solution

The fourth proportional to 78,140.60, 107,834.52 and 42,330.59 is: 58,416.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,140.60 : 107,834.52 = 42,330.59 : x
  2. Step 2: Convert to fraction form
    78,140.60/107,834.52 = 42,330.59/x
  3. Step 3: Cross multiply
    78,140.60x = 107,834.52 × 42,330.59
  4. Step 4: Simplify right side
    78,140.60x = 4,564,698,314.79
  5. Step 5: Solve for x
    x = 4,564,698,314.79/78,140.60
  6. Step 6: Final answer
    x = 58,416.48

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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.