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Finding the Fourth Proportional to 78,697.61, 108,599.54 and 42,886.86

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Solution

The fourth proportional to 78,697.61, 108,599.54 and 42,886.86 is: 59,182.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,697.61 : 108,599.54 = 42,886.86 : x
  2. Step 2: Convert to fraction form
    78,697.61/108,599.54 = 42,886.86/x
  3. Step 3: Cross multiply
    78,697.61x = 108,599.54 × 42,886.86
  4. Step 4: Simplify right side
    78,697.61x = 4,657,493,053.61
  5. Step 5: Solve for x
    x = 4,657,493,053.61/78,697.61
  6. Step 6: Final answer
    x = 59,182.14

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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.