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Finding the Fourth Proportional to 70,860, 97,778.24 and 40,643.76

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Solution

The fourth proportional to 70,860, 97,778.24 and 40,643.76 is: 56,083.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,860 : 97,778.24 = 40,643.76 : x
  2. Step 2: Convert to fraction form
    70,860/97,778.24 = 40,643.76/x
  3. Step 3: Cross multiply
    70,860x = 97,778.24 × 40,643.76
  4. Step 4: Simplify right side
    70,860x = 3,974,075,319.78
  5. Step 5: Solve for x
    x = 3,974,075,319.78/70,860
  6. Step 6: Final answer
    x = 56,083.48

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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.