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Finding the Fourth Proportional to 42,807.60, 64,199.88 and 15,102

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Solution

The fourth proportional to 42,807.60, 64,199.88 and 15,102 is: 22,648.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,807.60 : 64,199.88 = 15,102 : x
  2. Step 2: Convert to fraction form
    42,807.60/64,199.88 = 15,102/x
  3. Step 3: Cross multiply
    42,807.60x = 64,199.88 × 15,102
  4. Step 4: Simplify right side
    42,807.60x = 969,546,587.76
  5. Step 5: Solve for x
    x = 969,546,587.76/42,807.60
  6. Step 6: Final answer
    x = 22,648.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.