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Finding the Fourth Proportional to 152,712, 210,742.68 and 85,644

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Solution

The fourth proportional to 152,712, 210,742.68 and 85,644 is: 118,188.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,712 : 210,742.68 = 85,644 : x
  2. Step 2: Convert to fraction form
    152,712/210,742.68 = 85,644/x
  3. Step 3: Cross multiply
    152,712x = 210,742.68 × 85,644
  4. Step 4: Simplify right side
    152,712x = 18,048,846,085.92
  5. Step 5: Solve for x
    x = 18,048,846,085.92/152,712
  6. Step 6: Final answer
    x = 118,188.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.