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Finding the Fourth Proportional to 157,798.02, 217,762.06 and 86,178.02

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Solution

The fourth proportional to 157,798.02, 217,762.06 and 86,178.02 is: 118,926.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,798.02 : 217,762.06 = 86,178.02 : x
  2. Step 2: Convert to fraction form
    157,798.02/217,762.06 = 86,178.02/x
  3. Step 3: Cross multiply
    157,798.02x = 217,762.06 × 86,178.02
  4. Step 4: Simplify right side
    157,798.02x = 18,766,303,161.92
  5. Step 5: Solve for x
    x = 18,766,303,161.92/157,798.02
  6. Step 6: Final answer
    x = 118,926.10

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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.