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Finding the Fourth Proportional to 302,142.80, 453,257.32 and 112,587

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Solution

The fourth proportional to 302,142.80, 453,257.32 and 112,587 is: 168,896.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,142.80 : 453,257.32 = 112,587 : x
  2. Step 2: Convert to fraction form
    302,142.80/453,257.32 = 112,587/x
  3. Step 3: Cross multiply
    302,142.80x = 453,257.32 × 112,587
  4. Step 4: Simplify right side
    302,142.80x = 51,030,881,886.84
  5. Step 5: Solve for x
    x = 51,030,881,886.84/302,142.80
  6. Step 6: Final answer
    x = 168,896.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.