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Finding the Fourth Proportional to 150,038.30, 207,078.32 and 86,412.94

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Solution

The fourth proportional to 150,038.30, 207,078.32 and 86,412.94 is: 119,264.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,038.30 : 207,078.32 = 86,412.94 : x
  2. Step 2: Convert to fraction form
    150,038.30/207,078.32 = 86,412.94/x
  3. Step 3: Cross multiply
    150,038.30x = 207,078.32 × 86,412.94
  4. Step 4: Simplify right side
    150,038.30x = 17,894,246,441.46
  5. Step 5: Solve for x
    x = 17,894,246,441.46/150,038.30
  6. Step 6: Final answer
    x = 119,264.52

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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.