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Finding the Fourth Proportional to 153,770.78, 230,695.02 and 42,962.78

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Solution

The fourth proportional to 153,770.78, 230,695.02 and 42,962.78 is: 64,455.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,770.78 : 230,695.02 = 42,962.78 : x
  2. Step 2: Convert to fraction form
    153,770.78/230,695.02 = 42,962.78/x
  3. Step 3: Cross multiply
    153,770.78x = 230,695.02 × 42,962.78
  4. Step 4: Simplify right side
    153,770.78x = 9,911,299,391.36
  5. Step 5: Solve for x
    x = 9,911,299,391.36/153,770.78
  6. Step 6: Final answer
    x = 64,455.02

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1.5x scale

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.