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Finding the Fourth Proportional to 98,618.32, 147,935.64 and 42,459.80

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Solution

The fourth proportional to 98,618.32, 147,935.64 and 42,459.80 is: 63,693.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,618.32 : 147,935.64 = 42,459.80 : x
  2. Step 2: Convert to fraction form
    98,618.32/147,935.64 = 42,459.80/x
  3. Step 3: Cross multiply
    98,618.32x = 147,935.64 × 42,459.80
  4. Step 4: Simplify right side
    98,618.32x = 6,281,317,687.27
  5. Step 5: Solve for x
    x = 6,281,317,687.27/98,618.32
  6. Step 6: Final answer
    x = 63,693.21

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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.