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Finding the Fourth Proportional to 98,673.90, 147,905.76 and 70,508.58

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Solution

The fourth proportional to 98,673.90, 147,905.76 and 70,508.58 is: 105,687.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,673.90 : 147,905.76 = 70,508.58 : x
  2. Step 2: Convert to fraction form
    98,673.90/147,905.76 = 70,508.58/x
  3. Step 3: Cross multiply
    98,673.90x = 147,905.76 × 70,508.58
  4. Step 4: Simplify right side
    98,673.90x = 10,428,625,111.42
  5. Step 5: Solve for x
    x = 10,428,625,111.42/98,673.90
  6. Step 6: Final answer
    x = 105,687.78

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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.