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Finding the Fourth Proportional to 61,441.78, 92,178.80 and 19,320.16

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Solution

The fourth proportional to 61,441.78, 92,178.80 and 19,320.16 is: 28,985.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,441.78 : 92,178.80 = 19,320.16 : x
  2. Step 2: Convert to fraction form
    61,441.78/92,178.80 = 19,320.16/x
  3. Step 3: Cross multiply
    61,441.78x = 92,178.80 × 19,320.16
  4. Step 4: Simplify right side
    61,441.78x = 1,780,909,164.61
  5. Step 5: Solve for x
    x = 1,780,909,164.61/61,441.78
  6. Step 6: Final answer
    x = 28,985.31

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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.