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Finding the Fourth Proportional to 61,412.10, 92,118.15 and 31,820.10

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Solution

The fourth proportional to 61,412.10, 92,118.15 and 31,820.10 is: 47,730.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,412.10 : 92,118.15 = 31,820.10 : x
  2. Step 2: Convert to fraction form
    61,412.10/92,118.15 = 31,820.10/x
  3. Step 3: Cross multiply
    61,412.10x = 92,118.15 × 31,820.10
  4. Step 4: Simplify right side
    61,412.10x = 2,931,208,744.82
  5. Step 5: Solve for x
    x = 2,931,208,744.82/61,412.10
  6. Step 6: Final answer
    x = 47,730.15

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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.