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Finding the Fourth Proportional to 153,462, 230,193.12 and 42,654

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Solution

The fourth proportional to 153,462, 230,193.12 and 42,654 is: 63,981.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,462 : 230,193.12 = 42,654 : x
  2. Step 2: Convert to fraction form
    153,462/230,193.12 = 42,654/x
  3. Step 3: Cross multiply
    153,462x = 230,193.12 × 42,654
  4. Step 4: Simplify right side
    153,462x = 9,818,657,340.48
  5. Step 5: Solve for x
    x = 9,818,657,340.48/153,462
  6. Step 6: Final answer
    x = 63,981.03

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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.