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Finding the Fourth Proportional to 78,657.86, 108,547.84 and 42,847.87

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Solution

The fourth proportional to 78,657.86, 108,547.84 and 42,847.87 is: 59,130.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,657.86 : 108,547.84 = 42,847.87 : x
  2. Step 2: Convert to fraction form
    78,657.86/108,547.84 = 42,847.87/x
  3. Step 3: Cross multiply
    78,657.86x = 108,547.84 × 42,847.87
  4. Step 4: Simplify right side
    78,657.86x = 4,651,043,737.10
  5. Step 5: Solve for x
    x = 4,651,043,737.10/78,657.86
  6. Step 6: Final answer
    x = 59,130.06

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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.