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Finding the Fourth Proportional to 145,153.02, 217,641.10 and 65,175.46

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Solution

The fourth proportional to 145,153.02, 217,641.10 and 65,175.46 is: 97,723.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,153.02 : 217,641.10 = 65,175.46 : x
  2. Step 2: Convert to fraction form
    145,153.02/217,641.10 = 65,175.46/x
  3. Step 3: Cross multiply
    145,153.02x = 217,641.10 × 65,175.46
  4. Step 4: Simplify right side
    145,153.02x = 14,184,858,807.41
  5. Step 5: Solve for x
    x = 14,184,858,807.41/145,153.02
  6. Step 6: Final answer
    x = 97,723.48

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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.