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Finding the Fourth Proportional to 78,540.68, 108,386.40 and 42,730.70

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Solution

The fourth proportional to 78,540.68, 108,386.40 and 42,730.70 is: 58,968.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,540.68 : 108,386.40 = 42,730.70 : x
  2. Step 2: Convert to fraction form
    78,540.68/108,386.40 = 42,730.70/x
  3. Step 3: Cross multiply
    78,540.68x = 108,386.40 × 42,730.70
  4. Step 4: Simplify right side
    78,540.68x = 4,631,426,742.48
  5. Step 5: Solve for x
    x = 4,631,426,742.48/78,540.68
  6. Step 6: Final answer
    x = 58,968.51

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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.