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Finding the Fourth Proportional to 78,767.51, 108,697.98 and 42,957.44

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Solution

The fourth proportional to 78,767.51, 108,697.98 and 42,957.44 is: 59,280.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,767.51 : 108,697.98 = 42,957.44 : x
  2. Step 2: Convert to fraction form
    78,767.51/108,697.98 = 42,957.44/x
  3. Step 3: Cross multiply
    78,767.51x = 108,697.98 × 42,957.44
  4. Step 4: Simplify right side
    78,767.51x = 4,669,386,979.19
  5. Step 5: Solve for x
    x = 4,669,386,979.19/78,767.51
  6. Step 6: Final answer
    x = 59,280.63

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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.