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Finding the Fourth Proportional to 86,634, 130,002.84 and 37,386

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Solution

The fourth proportional to 86,634, 130,002.84 and 37,386 is: 56,101.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,634 : 130,002.84 = 37,386 : x
  2. Step 2: Convert to fraction form
    86,634/130,002.84 = 37,386/x
  3. Step 3: Cross multiply
    86,634x = 130,002.84 × 37,386
  4. Step 4: Simplify right side
    86,634x = 4,860,286,176.24
  5. Step 5: Solve for x
    x = 4,860,286,176.24/86,634
  6. Step 6: Final answer
    x = 56,101.37

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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.