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Finding the Fourth Proportional to 61,155.42, 84,390.50 and 34,297.74

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Solution

The fourth proportional to 61,155.42, 84,390.50 and 34,297.74 is: 47,328.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,155.42 : 84,390.50 = 34,297.74 : x
  2. Step 2: Convert to fraction form
    61,155.42/84,390.50 = 34,297.74/x
  3. Step 3: Cross multiply
    61,155.42x = 84,390.50 × 34,297.74
  4. Step 4: Simplify right side
    61,155.42x = 2,894,403,427.47
  5. Step 5: Solve for x
    x = 2,894,403,427.47/61,155.42
  6. Step 6: Final answer
    x = 47,328.65

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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.