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Finding the Fourth Proportional to 145,409.80, 217,952.70 and 56,633.80

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Solution

The fourth proportional to 145,409.80, 217,952.70 and 56,633.80 is: 84,887.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,409.80 : 217,952.70 = 56,633.80 : x
  2. Step 2: Convert to fraction form
    145,409.80/217,952.70 = 56,633.80/x
  3. Step 3: Cross multiply
    145,409.80x = 217,952.70 × 56,633.80
  4. Step 4: Simplify right side
    145,409.80x = 12,343,489,621.26
  5. Step 5: Solve for x
    x = 12,343,489,621.26/145,409.80
  6. Step 6: Final answer
    x = 84,887.60

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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.