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Finding the Fourth Proportional to 98,117.80, 137,069 and 98,117.80

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Solution

The fourth proportional to 98,117.80, 137,069 and 98,117.80 is: 137,069

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,117.80 : 137,069 = 98,117.80 : x
  2. Step 2: Convert to fraction form
    98,117.80/137,069 = 98,117.80/x
  3. Step 3: Cross multiply
    98,117.80x = 137,069 × 98,117.80
  4. Step 4: Simplify right side
    98,117.80x = 13,448,908,728.20
  5. Step 5: Solve for x
    x = 13,448,908,728.20/98,117.80
  6. Step 6: Final answer
    x = 137,069

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.