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Finding the Fourth Proportional to 207,921.53, 286,931.51 and 112,428

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Solution

The fourth proportional to 207,921.53, 286,931.51 and 112,428 is: 155,150.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,921.53 : 286,931.51 = 112,428 : x
  2. Step 2: Convert to fraction form
    207,921.53/286,931.51 = 112,428/x
  3. Step 3: Cross multiply
    207,921.53x = 286,931.51 × 112,428
  4. Step 4: Simplify right side
    207,921.53x = 32,259,136,298.15
  5. Step 5: Solve for x
    x = 32,259,136,298.15/207,921.53
  6. Step 6: Final answer
    x = 155,150.53

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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.