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Finding the Fourth Proportional to 98,571.20, 147,856.80 and 86,907.20

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Solution

The fourth proportional to 98,571.20, 147,856.80 and 86,907.20 is: 130,360.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,571.20 : 147,856.80 = 86,907.20 : x
  2. Step 2: Convert to fraction form
    98,571.20/147,856.80 = 86,907.20/x
  3. Step 3: Cross multiply
    98,571.20x = 147,856.80 × 86,907.20
  4. Step 4: Simplify right side
    98,571.20x = 12,849,820,488.96
  5. Step 5: Solve for x
    x = 12,849,820,488.96/98,571.20
  6. Step 6: Final answer
    x = 130,360.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.