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Finding the Fourth Proportional to 152,805.96, 210,860.64 and 85,725

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Solution

The fourth proportional to 152,805.96, 210,860.64 and 85,725 is: 118,294.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,805.96 : 210,860.64 = 85,725 : x
  2. Step 2: Convert to fraction form
    152,805.96/210,860.64 = 85,725/x
  3. Step 3: Cross multiply
    152,805.96x = 210,860.64 × 85,725
  4. Step 4: Simplify right side
    152,805.96x = 18,076,028,364
  5. Step 5: Solve for x
    x = 18,076,028,364/152,805.96
  6. Step 6: Final answer
    x = 118,294.00

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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.