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Finding the Fourth Proportional to 157,893, 236,956.14 and 74,787

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Solution

The fourth proportional to 157,893, 236,956.14 and 74,787 is: 112,235.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,893 : 236,956.14 = 74,787 : x
  2. Step 2: Convert to fraction form
    157,893/236,956.14 = 74,787/x
  3. Step 3: Cross multiply
    157,893x = 236,956.14 × 74,787
  4. Step 4: Simplify right side
    157,893x = 17,721,238,842.18
  5. Step 5: Solve for x
    x = 17,721,238,842.18/157,893
  6. Step 6: Final answer
    x = 112,235.75

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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.