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Finding the Fourth Proportional to 70,897.68, 106,345.80 and 31,443.84

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Solution

The fourth proportional to 70,897.68, 106,345.80 and 31,443.84 is: 47,165.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,897.68 : 106,345.80 = 31,443.84 : x
  2. Step 2: Convert to fraction form
    70,897.68/106,345.80 = 31,443.84/x
  3. Step 3: Cross multiply
    70,897.68x = 106,345.80 × 31,443.84
  4. Step 4: Simplify right side
    70,897.68x = 3,343,920,319.87
  5. Step 5: Solve for x
    x = 3,343,920,319.87/70,897.68
  6. Step 6: Final answer
    x = 47,165.44

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1.5x scale

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.