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Finding the Fourth Proportional to 145,978.14, 201,452.46 and 85,565.90

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Solution

The fourth proportional to 145,978.14, 201,452.46 and 85,565.90 is: 118,082.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,978.14 : 201,452.46 = 85,565.90 : x
  2. Step 2: Convert to fraction form
    145,978.14/201,452.46 = 85,565.90/x
  3. Step 3: Cross multiply
    145,978.14x = 201,452.46 × 85,565.90
  4. Step 4: Simplify right side
    145,978.14x = 17,237,461,047.11
  5. Step 5: Solve for x
    x = 17,237,461,047.11/145,978.14
  6. Step 6: Final answer
    x = 118,082.48

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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.