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Finding the Fourth Proportional to 77,977.65, 107,609.16 and 42,167.67

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Solution

The fourth proportional to 77,977.65, 107,609.16 and 42,167.67 is: 58,191.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,977.65 : 107,609.16 = 42,167.67 : x
  2. Step 2: Convert to fraction form
    77,977.65/107,609.16 = 42,167.67/x
  3. Step 3: Cross multiply
    77,977.65x = 107,609.16 × 42,167.67
  4. Step 4: Simplify right side
    77,977.65x = 4,537,627,547.86
  5. Step 5: Solve for x
    x = 4,537,627,547.86/77,977.65
  6. Step 6: Final answer
    x = 58,191.39

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1.5x scale

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.