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Finding the Fourth Proportional to 30,177.84, 45,207.90 and 19,758

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Solution

The fourth proportional to 30,177.84, 45,207.90 and 19,758 is: 29,598.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,177.84 : 45,207.90 = 19,758 : x
  2. Step 2: Convert to fraction form
    30,177.84/45,207.90 = 19,758/x
  3. Step 3: Cross multiply
    30,177.84x = 45,207.90 × 19,758
  4. Step 4: Simplify right side
    30,177.84x = 893,217,688.20
  5. Step 5: Solve for x
    x = 893,217,688.20/30,177.84
  6. Step 6: Final answer
    x = 29,598.46

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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.