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Finding the Fourth Proportional to 74,526.88, 102,854.64 and 42,700

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Solution

The fourth proportional to 74,526.88, 102,854.64 and 42,700 is: 58,930.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,526.88 : 102,854.64 = 42,700 : x
  2. Step 2: Convert to fraction form
    74,526.88/102,854.64 = 42,700/x
  3. Step 3: Cross multiply
    74,526.88x = 102,854.64 × 42,700
  4. Step 4: Simplify right side
    74,526.88x = 4,391,893,128
  5. Step 5: Solve for x
    x = 4,391,893,128/74,526.88
  6. Step 6: Final answer
    x = 58,930.32

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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.