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Finding the Fourth Proportional to 152,866, 210,975.06 and 85,798

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Solution

The fourth proportional to 152,866, 210,975.06 and 85,798 is: 118,412.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,866 : 210,975.06 = 85,798 : x
  2. Step 2: Convert to fraction form
    152,866/210,975.06 = 85,798/x
  3. Step 3: Cross multiply
    152,866x = 210,975.06 × 85,798
  4. Step 4: Simplify right side
    152,866x = 18,101,238,197.88
  5. Step 5: Solve for x
    x = 18,101,238,197.88/152,866
  6. Step 6: Final answer
    x = 118,412.45

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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.