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Finding the Fourth Proportional to 142,054.61, 196,029.21 and 77,522.21

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Solution

The fourth proportional to 142,054.61, 196,029.21 and 77,522.21 is: 106,977.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,054.61 : 196,029.21 = 77,522.21 : x
  2. Step 2: Convert to fraction form
    142,054.61/196,029.21 = 77,522.21/x
  3. Step 3: Cross multiply
    142,054.61x = 196,029.21 × 77,522.21
  4. Step 4: Simplify right side
    142,054.61x = 15,196,617,583.75
  5. Step 5: Solve for x
    x = 15,196,617,583.75/142,054.61
  6. Step 6: Final answer
    x = 106,977.29

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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.