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Finding the Fourth Proportional to 153,612, 230,508.72 and 64,859.76

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Solution

The fourth proportional to 153,612, 230,508.72 and 64,859.76 is: 97,327.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,612 : 230,508.72 = 64,859.76 : x
  2. Step 2: Convert to fraction form
    153,612/230,508.72 = 64,859.76/x
  3. Step 3: Cross multiply
    153,612x = 230,508.72 × 64,859.76
  4. Step 4: Simplify right side
    153,612x = 14,950,740,257.11
  5. Step 5: Solve for x
    x = 14,950,740,257.11/153,612
  6. Step 6: Final answer
    x = 97,327.94

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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.