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Finding the Fourth Proportional to 106,607, 147,130.62 and 61,895

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Solution

The fourth proportional to 106,607, 147,130.62 and 61,895 is: 85,422.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,607 : 147,130.62 = 61,895 : x
  2. Step 2: Convert to fraction form
    106,607/147,130.62 = 61,895/x
  3. Step 3: Cross multiply
    106,607x = 147,130.62 × 61,895
  4. Step 4: Simplify right side
    106,607x = 9,106,649,724.90
  5. Step 5: Solve for x
    x = 9,106,649,724.90/106,607
  6. Step 6: Final answer
    x = 85,422.62

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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.