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Finding the Fourth Proportional to 77,681.76, 116,271.98 and 40,190.20

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Solution

The fourth proportional to 77,681.76, 116,271.98 and 40,190.20 is: 60,155.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,681.76 : 116,271.98 = 40,190.20 : x
  2. Step 2: Convert to fraction form
    77,681.76/116,271.98 = 40,190.20/x
  3. Step 3: Cross multiply
    77,681.76x = 116,271.98 × 40,190.20
  4. Step 4: Simplify right side
    77,681.76x = 4,672,994,130.60
  5. Step 5: Solve for x
    x = 4,672,994,130.60/77,681.76
  6. Step 6: Final answer
    x = 60,155.62

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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.