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Finding the Fourth Proportional to 145,987.50, 201,463.02 and 78,919.50

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Solution

The fourth proportional to 145,987.50, 201,463.02 and 78,919.50 is: 108,909.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,987.50 : 201,463.02 = 78,919.50 : x
  2. Step 2: Convert to fraction form
    145,987.50/201,463.02 = 78,919.50/x
  3. Step 3: Cross multiply
    145,987.50x = 201,463.02 × 78,919.50
  4. Step 4: Simplify right side
    145,987.50x = 15,899,360,806.89
  5. Step 5: Solve for x
    x = 15,899,360,806.89/145,987.50
  6. Step 6: Final answer
    x = 108,909.06

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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.