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Finding the Fourth Proportional to 98,442.94, 147,678.90 and 31,860.94

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Solution

The fourth proportional to 98,442.94, 147,678.90 and 31,860.94 is: 47,796.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,442.94 : 147,678.90 = 31,860.94 : x
  2. Step 2: Convert to fraction form
    98,442.94/147,678.90 = 31,860.94/x
  3. Step 3: Cross multiply
    98,442.94x = 147,678.90 × 31,860.94
  4. Step 4: Simplify right side
    98,442.94x = 4,705,188,572.17
  5. Step 5: Solve for x
    x = 4,705,188,572.17/98,442.94
  6. Step 6: Final answer
    x = 47,796.10

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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.