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Finding the Fourth Proportional to 207,870.84, 286,862.58 and 112,378.32

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Solution

The fourth proportional to 207,870.84, 286,862.58 and 112,378.32 is: 155,082.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,870.84 : 286,862.58 = 112,378.32 : x
  2. Step 2: Convert to fraction form
    207,870.84/286,862.58 = 112,378.32/x
  3. Step 3: Cross multiply
    207,870.84x = 286,862.58 × 112,378.32
  4. Step 4: Simplify right side
    207,870.84x = 32,237,134,811.27
  5. Step 5: Solve for x
    x = 32,237,134,811.27/207,870.84
  6. Step 6: Final answer
    x = 155,082.53

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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.