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Finding the Fourth Proportional to 210,788.25, 316,150.71 and 77,637.32

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Solution

The fourth proportional to 210,788.25, 316,150.71 and 77,637.32 is: 116,444.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,788.25 : 316,150.71 = 77,637.32 : x
  2. Step 2: Convert to fraction form
    210,788.25/316,150.71 = 77,637.32/x
  3. Step 3: Cross multiply
    210,788.25x = 316,150.71 × 77,637.32
  4. Step 4: Simplify right side
    210,788.25x = 24,545,092,259.74
  5. Step 5: Solve for x
    x = 24,545,092,259.74/210,788.25
  6. Step 6: Final answer
    x = 116,444.31

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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.