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Finding the Fourth Proportional to 145,693.87, 218,579.68 and 52,209.07

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Solution

The fourth proportional to 145,693.87, 218,579.68 and 52,209.07 is: 78,327.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,693.87 : 218,579.68 = 52,209.07 : x
  2. Step 2: Convert to fraction form
    145,693.87/218,579.68 = 52,209.07/x
  3. Step 3: Cross multiply
    145,693.87x = 218,579.68 × 52,209.07
  4. Step 4: Simplify right side
    145,693.87x = 11,411,841,332.51
  5. Step 5: Solve for x
    x = 11,411,841,332.51/145,693.87
  6. Step 6: Final answer
    x = 78,327.53

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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.