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Finding the Fourth Proportional to 253,038.72, 349,157.76 and 144,145.92

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Solution

The fourth proportional to 253,038.72, 349,157.76 and 144,145.92 is: 198,901.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,038.72 : 349,157.76 = 144,145.92 : x
  2. Step 2: Convert to fraction form
    253,038.72/349,157.76 = 144,145.92/x
  3. Step 3: Cross multiply
    253,038.72x = 349,157.76 × 144,145.92
  4. Step 4: Simplify right side
    253,038.72x = 50,329,666,540.34
  5. Step 5: Solve for x
    x = 50,329,666,540.34/253,038.72
  6. Step 6: Final answer
    x = 198,901.05

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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.