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Finding the Fourth Proportional to 153,605.61, 230,408.42 and 48,432.78

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Solution

The fourth proportional to 153,605.61, 230,408.42 and 48,432.78 is: 72,649.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,605.61 : 230,408.42 = 48,432.78 : x
  2. Step 2: Convert to fraction form
    153,605.61/230,408.42 = 48,432.78/x
  3. Step 3: Cross multiply
    153,605.61x = 230,408.42 × 48,432.78
  4. Step 4: Simplify right side
    153,605.61x = 11,159,320,073.84
  5. Step 5: Solve for x
    x = 11,159,320,073.84/153,605.61
  6. Step 6: Final answer
    x = 72,649.17

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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.