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Finding the Fourth Proportional to 98,978.60, 148,266.30 and 61,423.40

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Solution

The fourth proportional to 98,978.60, 148,266.30 and 61,423.40 is: 92,009.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,978.60 : 148,266.30 = 61,423.40 : x
  2. Step 2: Convert to fraction form
    98,978.60/148,266.30 = 61,423.40/x
  3. Step 3: Cross multiply
    98,978.60x = 148,266.30 × 61,423.40
  4. Step 4: Simplify right side
    98,978.60x = 9,107,020,251.42
  5. Step 5: Solve for x
    x = 9,107,020,251.42/98,978.60
  6. Step 6: Final answer
    x = 92,009.99

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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.