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Finding the Fourth Proportional to 115,302.42, 172,931.76 and 48,789

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Solution

The fourth proportional to 115,302.42, 172,931.76 and 48,789 is: 73,174.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,302.42 : 172,931.76 = 48,789 : x
  2. Step 2: Convert to fraction form
    115,302.42/172,931.76 = 48,789/x
  3. Step 3: Cross multiply
    115,302.42x = 172,931.76 × 48,789
  4. Step 4: Simplify right side
    115,302.42x = 8,437,167,638.64
  5. Step 5: Solve for x
    x = 8,437,167,638.64/115,302.42
  6. Step 6: Final answer
    x = 73,174.25

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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.