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Finding the Fourth Proportional to 98,390.30, 147,664.08 and 51,018.86

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Solution

The fourth proportional to 98,390.30, 147,664.08 and 51,018.86 is: 76,569.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,390.30 : 147,664.08 = 51,018.86 : x
  2. Step 2: Convert to fraction form
    98,390.30/147,664.08 = 51,018.86/x
  3. Step 3: Cross multiply
    98,390.30x = 147,664.08 × 51,018.86
  4. Step 4: Simplify right side
    98,390.30x = 7,533,653,024.55
  5. Step 5: Solve for x
    x = 7,533,653,024.55/98,390.30
  6. Step 6: Final answer
    x = 76,569.06

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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.