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Finding the Fourth Proportional to 145,542.48, 200,834.40 and 81,878.91

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Solution

The fourth proportional to 145,542.48, 200,834.40 and 81,878.91 is: 112,984.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,542.48 : 200,834.40 = 81,878.91 : x
  2. Step 2: Convert to fraction form
    145,542.48/200,834.40 = 81,878.91/x
  3. Step 3: Cross multiply
    145,542.48x = 200,834.40 × 81,878.91
  4. Step 4: Simplify right side
    145,542.48x = 16,444,101,762.50
  5. Step 5: Solve for x
    x = 16,444,101,762.50/145,542.48
  6. Step 6: Final answer
    x = 112,984.89

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1.5x scale

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.