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Finding the Fourth Proportional to 153,685.92, 230,502.96 and 42,852

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Solution

The fourth proportional to 153,685.92, 230,502.96 and 42,852 is: 64,270.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,685.92 : 230,502.96 = 42,852 : x
  2. Step 2: Convert to fraction form
    153,685.92/230,502.96 = 42,852/x
  3. Step 3: Cross multiply
    153,685.92x = 230,502.96 × 42,852
  4. Step 4: Simplify right side
    153,685.92x = 9,877,512,841.92
  5. Step 5: Solve for x
    x = 9,877,512,841.92/153,685.92
  6. Step 6: Final answer
    x = 64,270.77

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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.