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Finding the Fourth Proportional to 98,462.76, 135,876.84 and 56,020.40

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Solution

The fourth proportional to 98,462.76, 135,876.84 and 56,020.40 is: 77,307.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,462.76 : 135,876.84 = 56,020.40 : x
  2. Step 2: Convert to fraction form
    98,462.76/135,876.84 = 56,020.40/x
  3. Step 3: Cross multiply
    98,462.76x = 135,876.84 × 56,020.40
  4. Step 4: Simplify right side
    98,462.76x = 7,611,874,927.54
  5. Step 5: Solve for x
    x = 7,611,874,927.54/98,462.76
  6. Step 6: Final answer
    x = 77,307.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.