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Finding the Fourth Proportional to 266,909.94, 368,319.51 and 152,172.54

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Solution

The fourth proportional to 266,909.94, 368,319.51 and 152,172.54 is: 209,988.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,909.94 : 368,319.51 = 152,172.54 : x
  2. Step 2: Convert to fraction form
    266,909.94/368,319.51 = 152,172.54/x
  3. Step 3: Cross multiply
    266,909.94x = 368,319.51 × 152,172.54
  4. Step 4: Simplify right side
    266,909.94x = 56,048,115,368.26
  5. Step 5: Solve for x
    x = 56,048,115,368.26/266,909.94
  6. Step 6: Final answer
    x = 209,988.87

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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.