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Finding the Fourth Proportional to 160,644.40, 240,978.42 and 42,314.89

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Solution

The fourth proportional to 160,644.40, 240,978.42 and 42,314.89 is: 63,475.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,644.40 : 240,978.42 = 42,314.89 : x
  2. Step 2: Convert to fraction form
    160,644.40/240,978.42 = 42,314.89/x
  3. Step 3: Cross multiply
    160,644.40x = 240,978.42 × 42,314.89
  4. Step 4: Simplify right side
    160,644.40x = 10,196,975,334.67
  5. Step 5: Solve for x
    x = 10,196,975,334.67/160,644.40
  6. Step 6: Final answer
    x = 63,475.45

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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.