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Finding the Fourth Proportional to 61,057.64, 91,428.74 and 42,140.67

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Solution

The fourth proportional to 61,057.64, 91,428.74 and 42,140.67 is: 63,102.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,057.64 : 91,428.74 = 42,140.67 : x
  2. Step 2: Convert to fraction form
    61,057.64/91,428.74 = 42,140.67/x
  3. Step 3: Cross multiply
    61,057.64x = 91,428.74 × 42,140.67
  4. Step 4: Simplify right side
    61,057.64x = 3,852,868,360.86
  5. Step 5: Solve for x
    x = 3,852,868,360.86/61,057.64
  6. Step 6: Final answer
    x = 63,102.15

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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.