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Finding the Fourth Proportional to 157,729, 236,558.13 and 45,384.19

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Solution

The fourth proportional to 157,729, 236,558.13 and 45,384.19 is: 68,066.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,729 : 236,558.13 = 45,384.19 : x
  2. Step 2: Convert to fraction form
    157,729/236,558.13 = 45,384.19/x
  3. Step 3: Cross multiply
    157,729x = 236,558.13 × 45,384.19
  4. Step 4: Simplify right side
    157,729x = 10,735,999,117.96
  5. Step 5: Solve for x
    x = 10,735,999,117.96/157,729
  6. Step 6: Final answer
    x = 68,066.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.