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Finding the Fourth Proportional to 150,643.14, 207,905.98 and 86,980.80

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Solution

The fourth proportional to 150,643.14, 207,905.98 and 86,980.80 is: 120,044.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,643.14 : 207,905.98 = 86,980.80 : x
  2. Step 2: Convert to fraction form
    150,643.14/207,905.98 = 86,980.80/x
  3. Step 3: Cross multiply
    150,643.14x = 207,905.98 × 86,980.80
  4. Step 4: Simplify right side
    150,643.14x = 18,083,828,465.18
  5. Step 5: Solve for x
    x = 18,083,828,465.18/150,643.14
  6. Step 6: Final answer
    x = 120,044.16

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1.5x scale

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.