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Finding the Fourth Proportional to 145,965.70, 218,948.55 and 82,980.10

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Solution

The fourth proportional to 145,965.70, 218,948.55 and 82,980.10 is: 124,470.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,965.70 : 218,948.55 = 82,980.10 : x
  2. Step 2: Convert to fraction form
    145,965.70/218,948.55 = 82,980.10/x
  3. Step 3: Cross multiply
    145,965.70x = 218,948.55 × 82,980.10
  4. Step 4: Simplify right side
    145,965.70x = 18,168,372,573.86
  5. Step 5: Solve for x
    x = 18,168,372,573.86/145,965.70
  6. Step 6: Final answer
    x = 124,470.15

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1.5x scale

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.