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Finding the Fourth Proportional to 57,154.80, 85,829.40 and 42,380.40

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Solution

The fourth proportional to 57,154.80, 85,829.40 and 42,380.40 is: 63,642.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,154.80 : 85,829.40 = 42,380.40 : x
  2. Step 2: Convert to fraction form
    57,154.80/85,829.40 = 42,380.40/x
  3. Step 3: Cross multiply
    57,154.80x = 85,829.40 × 42,380.40
  4. Step 4: Simplify right side
    57,154.80x = 3,637,484,303.76
  5. Step 5: Solve for x
    x = 3,637,484,303.76/57,154.80
  6. Step 6: Final answer
    x = 63,642.67

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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.