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Finding the Fourth Proportional to 145,987.71, 218,913.52 and 75,848.19

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Solution

The fourth proportional to 145,987.71, 218,913.52 and 75,848.19 is: 113,736.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,987.71 : 218,913.52 = 75,848.19 : x
  2. Step 2: Convert to fraction form
    145,987.71/218,913.52 = 75,848.19/x
  3. Step 3: Cross multiply
    145,987.71x = 218,913.52 × 75,848.19
  4. Step 4: Simplify right side
    145,987.71x = 16,604,192,784.72
  5. Step 5: Solve for x
    x = 16,604,192,784.72/145,987.71
  6. Step 6: Final answer
    x = 113,736.93

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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.