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Finding the Fourth Proportional to 145,184.78, 217,739.10 and 65,178

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Solution

The fourth proportional to 145,184.78, 217,739.10 and 65,178 is: 97,749.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,184.78 : 217,739.10 = 65,178 : x
  2. Step 2: Convert to fraction form
    145,184.78/217,739.10 = 65,178/x
  3. Step 3: Cross multiply
    145,184.78x = 217,739.10 × 65,178
  4. Step 4: Simplify right side
    145,184.78x = 14,191,799,304.22
  5. Step 5: Solve for x
    x = 14,191,799,304.22/145,184.78
  6. Step 6: Final answer
    x = 97,749.91

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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.