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Finding the Fourth Proportional to 98,547.65, 147,819.40 and 31,987.67

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Solution

The fourth proportional to 98,547.65, 147,819.40 and 31,987.67 is: 47,980.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,547.65 : 147,819.40 = 31,987.67 : x
  2. Step 2: Convert to fraction form
    98,547.65/147,819.40 = 31,987.67/x
  3. Step 3: Cross multiply
    98,547.65x = 147,819.40 × 31,987.67
  4. Step 4: Simplify right side
    98,547.65x = 4,728,398,476.38
  5. Step 5: Solve for x
    x = 4,728,398,476.38/98,547.65
  6. Step 6: Final answer
    x = 47,980.83

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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.