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Finding the Fourth Proportional to 70,970.11, 106,437 and 21,038.53

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Solution

The fourth proportional to 70,970.11, 106,437 and 21,038.53 is: 31,552.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,970.11 : 106,437 = 21,038.53 : x
  2. Step 2: Convert to fraction form
    70,970.11/106,437 = 21,038.53/x
  3. Step 3: Cross multiply
    70,970.11x = 106,437 × 21,038.53
  4. Step 4: Simplify right side
    70,970.11x = 2,239,278,017.61
  5. Step 5: Solve for x
    x = 2,239,278,017.61/70,970.11
  6. Step 6: Final answer
    x = 31,552.41

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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.