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Finding the Fourth Proportional to 101,355.16, 139,870.28 and 56,643.16

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Solution

The fourth proportional to 101,355.16, 139,870.28 and 56,643.16 is: 78,167.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,355.16 : 139,870.28 = 56,643.16 : x
  2. Step 2: Convert to fraction form
    101,355.16/139,870.28 = 56,643.16/x
  3. Step 3: Cross multiply
    101,355.16x = 139,870.28 × 56,643.16
  4. Step 4: Simplify right side
    101,355.16x = 7,922,694,649.28
  5. Step 5: Solve for x
    x = 7,922,694,649.28/101,355.16
  6. Step 6: Final answer
    x = 78,167.65

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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.