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Finding the Fourth Proportional to 145,886.64, 218,723.62 and 98,383.71

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Solution

The fourth proportional to 145,886.64, 218,723.62 and 98,383.71 is: 147,503.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,886.64 : 218,723.62 = 98,383.71 : x
  2. Step 2: Convert to fraction form
    145,886.64/218,723.62 = 98,383.71/x
  3. Step 3: Cross multiply
    145,886.64x = 218,723.62 × 98,383.71
  4. Step 4: Simplify right side
    145,886.64x = 21,518,841,682.25
  5. Step 5: Solve for x
    x = 21,518,841,682.25/145,886.64
  6. Step 6: Final answer
    x = 147,503.85

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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.