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Finding the Fourth Proportional to 153,562.94, 211,923.40 and 85,580

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Solution

The fourth proportional to 153,562.94, 211,923.40 and 85,580 is: 118,104.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,562.94 : 211,923.40 = 85,580 : x
  2. Step 2: Convert to fraction form
    153,562.94/211,923.40 = 85,580/x
  3. Step 3: Cross multiply
    153,562.94x = 211,923.40 × 85,580
  4. Step 4: Simplify right side
    153,562.94x = 18,136,404,572
  5. Step 5: Solve for x
    x = 18,136,404,572/153,562.94
  6. Step 6: Final answer
    x = 118,104.05

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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.