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Finding the Fourth Proportional to 78,708.98, 108,615.24 and 42,898.24

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Solution

The fourth proportional to 78,708.98, 108,615.24 and 42,898.24 is: 59,197.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,708.98 : 108,615.24 = 42,898.24 : x
  2. Step 2: Convert to fraction form
    78,708.98/108,615.24 = 42,898.24/x
  3. Step 3: Cross multiply
    78,708.98x = 108,615.24 × 42,898.24
  4. Step 4: Simplify right side
    78,708.98x = 4,659,402,633.18
  5. Step 5: Solve for x
    x = 4,659,402,633.18/78,708.98
  6. Step 6: Final answer
    x = 59,197.85

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1.5x scale

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.