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Finding the Fourth Proportional to 145,773.30, 201,098.41 and 85,306.87

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Solution

The fourth proportional to 145,773.30, 201,098.41 and 85,306.87 is: 117,683.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,773.30 : 201,098.41 = 85,306.87 : x
  2. Step 2: Convert to fraction form
    145,773.30/201,098.41 = 85,306.87/x
  3. Step 3: Cross multiply
    145,773.30x = 201,098.41 × 85,306.87
  4. Step 4: Simplify right side
    145,773.30x = 17,155,075,919.08
  5. Step 5: Solve for x
    x = 17,155,075,919.08/145,773.30
  6. Step 6: Final answer
    x = 117,683.25

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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.