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Finding the Fourth Proportional to 207,950.64, 286,972.54 and 112,458

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Solution

The fourth proportional to 207,950.64, 286,972.54 and 112,458 is: 155,192.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,950.64 : 286,972.54 = 112,458 : x
  2. Step 2: Convert to fraction form
    207,950.64/286,972.54 = 112,458/x
  3. Step 3: Cross multiply
    207,950.64x = 286,972.54 × 112,458
  4. Step 4: Simplify right side
    207,950.64x = 32,272,357,903.32
  5. Step 5: Solve for x
    x = 32,272,357,903.32/207,950.64
  6. Step 6: Final answer
    x = 155,192.40

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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.