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Finding the Fourth Proportional to 98,390.94, 146,819.01 and 87,788.10

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Solution

The fourth proportional to 98,390.94, 146,819.01 and 87,788.10 is: 130,997.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,390.94 : 146,819.01 = 87,788.10 : x
  2. Step 2: Convert to fraction form
    98,390.94/146,819.01 = 87,788.10/x
  3. Step 3: Cross multiply
    98,390.94x = 146,819.01 × 87,788.10
  4. Step 4: Simplify right side
    98,390.94x = 12,888,961,931.78
  5. Step 5: Solve for x
    x = 12,888,961,931.78/98,390.94
  6. Step 6: Final answer
    x = 130,997.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.