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Finding the Fourth Proportional to 77,637, 107,139.06 and 42,309

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Solution

The fourth proportional to 77,637, 107,139.06 and 42,309 is: 58,386.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,637 : 107,139.06 = 42,309 : x
  2. Step 2: Convert to fraction form
    77,637/107,139.06 = 42,309/x
  3. Step 3: Cross multiply
    77,637x = 107,139.06 × 42,309
  4. Step 4: Simplify right side
    77,637x = 4,532,946,489.54
  5. Step 5: Solve for x
    x = 4,532,946,489.54/77,637
  6. Step 6: Final answer
    x = 58,386.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.