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Finding the Fourth Proportional to 70,973.71, 106,444.15 and 21,041.78

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Solution

The fourth proportional to 70,973.71, 106,444.15 and 21,041.78 is: 31,557.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,973.71 : 106,444.15 = 21,041.78 : x
  2. Step 2: Convert to fraction form
    70,973.71/106,444.15 = 21,041.78/x
  3. Step 3: Cross multiply
    70,973.71x = 106,444.15 × 21,041.78
  4. Step 4: Simplify right side
    70,973.71x = 2,239,773,801.76
  5. Step 5: Solve for x
    x = 2,239,773,801.76/70,973.71
  6. Step 6: Final answer
    x = 31,557.80

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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.