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Finding the Fourth Proportional to 150,168.47, 207,255.75 and 85,637.82

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Solution

The fourth proportional to 150,168.47, 207,255.75 and 85,637.82 is: 118,193.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,168.47 : 207,255.75 = 85,637.82 : x
  2. Step 2: Convert to fraction form
    150,168.47/207,255.75 = 85,637.82/x
  3. Step 3: Cross multiply
    150,168.47x = 207,255.75 × 85,637.82
  4. Step 4: Simplify right side
    150,168.47x = 17,748,931,068.53
  5. Step 5: Solve for x
    x = 17,748,931,068.53/150,168.47
  6. Step 6: Final answer
    x = 118,193.46

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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.