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Finding the Fourth Proportional to 98,842.69, 148,207.20 and 30,436.50

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Solution

The fourth proportional to 98,842.69, 148,207.20 and 30,436.50 is: 45,637.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,842.69 : 148,207.20 = 30,436.50 : x
  2. Step 2: Convert to fraction form
    98,842.69/148,207.20 = 30,436.50/x
  3. Step 3: Cross multiply
    98,842.69x = 148,207.20 × 30,436.50
  4. Step 4: Simplify right side
    98,842.69x = 4,510,908,442.80
  5. Step 5: Solve for x
    x = 4,510,908,442.80/98,842.69
  6. Step 6: Final answer
    x = 45,637.25

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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.