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Finding the Fourth Proportional to 98,117.40, 147,176.10 and 71,873.40

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Solution

The fourth proportional to 98,117.40, 147,176.10 and 71,873.40 is: 107,810.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,117.40 : 147,176.10 = 71,873.40 : x
  2. Step 2: Convert to fraction form
    98,117.40/147,176.10 = 71,873.40/x
  3. Step 3: Cross multiply
    98,117.40x = 147,176.10 × 71,873.40
  4. Step 4: Simplify right side
    98,117.40x = 10,578,046,705.74
  5. Step 5: Solve for x
    x = 10,578,046,705.74/98,117.40
  6. Step 6: Final answer
    x = 107,810.10

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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.