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Finding the Fourth Proportional to 98,877.78, 136,461.12 and 56,442.69

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Solution

The fourth proportional to 98,877.78, 136,461.12 and 56,442.69 is: 77,896.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,877.78 : 136,461.12 = 56,442.69 : x
  2. Step 2: Convert to fraction form
    98,877.78/136,461.12 = 56,442.69/x
  3. Step 3: Cross multiply
    98,877.78x = 136,461.12 × 56,442.69
  4. Step 4: Simplify right side
    98,877.78x = 7,702,232,693.21
  5. Step 5: Solve for x
    x = 7,702,232,693.21/98,877.78
  6. Step 6: Final answer
    x = 77,896.50

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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.