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Finding the Fourth Proportional to 101,438.16, 139,977.12 and 56,116.68

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Solution

The fourth proportional to 101,438.16, 139,977.12 and 56,116.68 is: 77,436.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,438.16 : 139,977.12 = 56,116.68 : x
  2. Step 2: Convert to fraction form
    101,438.16/139,977.12 = 56,116.68/x
  3. Step 3: Cross multiply
    101,438.16x = 139,977.12 × 56,116.68
  4. Step 4: Simplify right side
    101,438.16x = 7,855,051,250.36
  5. Step 5: Solve for x
    x = 7,855,051,250.36/101,438.16
  6. Step 6: Final answer
    x = 77,436.85

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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.