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Finding the Fourth Proportional to 145,950.16, 218,871.48 and 52,430.80

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Solution

The fourth proportional to 145,950.16, 218,871.48 and 52,430.80 is: 78,626.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,950.16 : 218,871.48 = 52,430.80 : x
  2. Step 2: Convert to fraction form
    145,950.16/218,871.48 = 52,430.80/x
  3. Step 3: Cross multiply
    145,950.16x = 218,871.48 × 52,430.80
  4. Step 4: Simplify right side
    145,950.16x = 11,475,606,793.58
  5. Step 5: Solve for x
    x = 11,475,606,793.58/145,950.16
  6. Step 6: Final answer
    x = 78,626.89

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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.