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Finding the Fourth Proportional to 42,430.56, 63,663.84 and 22,704

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Solution

The fourth proportional to 42,430.56, 63,663.84 and 22,704 is: 34,065.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,430.56 : 63,663.84 = 22,704 : x
  2. Step 2: Convert to fraction form
    42,430.56/63,663.84 = 22,704/x
  3. Step 3: Cross multiply
    42,430.56x = 63,663.84 × 22,704
  4. Step 4: Simplify right side
    42,430.56x = 1,445,423,823.36
  5. Step 5: Solve for x
    x = 1,445,423,823.36/42,430.56
  6. Step 6: Final answer
    x = 34,065.63

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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.