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Finding the Fourth Proportional to 152,842, 210,941.40 and 85,774

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Solution

The fourth proportional to 152,842, 210,941.40 and 85,774 is: 118,379.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,842 : 210,941.40 = 85,774 : x
  2. Step 2: Convert to fraction form
    152,842/210,941.40 = 85,774/x
  3. Step 3: Cross multiply
    152,842x = 210,941.40 × 85,774
  4. Step 4: Simplify right side
    152,842x = 18,093,287,643.60
  5. Step 5: Solve for x
    x = 18,093,287,643.60/152,842
  6. Step 6: Final answer
    x = 118,379.03

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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.