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Finding the Fourth Proportional to 86,715, 119,666.70 and 46,971

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Solution

The fourth proportional to 86,715, 119,666.70 and 46,971 is: 64,819.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,715 : 119,666.70 = 46,971 : x
  2. Step 2: Convert to fraction form
    86,715/119,666.70 = 46,971/x
  3. Step 3: Cross multiply
    86,715x = 119,666.70 × 46,971
  4. Step 4: Simplify right side
    86,715x = 5,620,864,565.70
  5. Step 5: Solve for x
    x = 5,620,864,565.70/86,715
  6. Step 6: Final answer
    x = 64,819.98

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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.