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Finding the Fourth Proportional to 106,863.95, 147,407.98 and 70,565.72

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Solution

The fourth proportional to 106,863.95, 147,407.98 and 70,565.72 is: 97,338.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,863.95 : 147,407.98 = 70,565.72 : x
  2. Step 2: Convert to fraction form
    106,863.95/147,407.98 = 70,565.72/x
  3. Step 3: Cross multiply
    106,863.95x = 147,407.98 × 70,565.72
  4. Step 4: Simplify right side
    106,863.95x = 10,401,950,242.45
  5. Step 5: Solve for x
    x = 10,401,950,242.45/106,863.95
  6. Step 6: Final answer
    x = 97,338.25

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1.5x scale

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.