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Finding the Fourth Proportional to 145,421.40, 218,132.10 and 144,499.80

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Solution

The fourth proportional to 145,421.40, 218,132.10 and 144,499.80 is: 216,749.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,421.40 : 218,132.10 = 144,499.80 : x
  2. Step 2: Convert to fraction form
    145,421.40/218,132.10 = 144,499.80/x
  3. Step 3: Cross multiply
    145,421.40x = 218,132.10 × 144,499.80
  4. Step 4: Simplify right side
    145,421.40x = 31,520,044,823.58
  5. Step 5: Solve for x
    x = 31,520,044,823.58/145,421.40
  6. Step 6: Final answer
    x = 216,749.70

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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.