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Finding the Fourth Proportional to 152,357.86, 210,224.02 and 84,371.55

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Solution

The fourth proportional to 152,357.86, 210,224.02 and 84,371.55 is: 116,416.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,357.86 : 210,224.02 = 84,371.55 : x
  2. Step 2: Convert to fraction form
    152,357.86/210,224.02 = 84,371.55/x
  3. Step 3: Cross multiply
    152,357.86x = 210,224.02 × 84,371.55
  4. Step 4: Simplify right side
    152,357.86x = 17,736,924,941.65
  5. Step 5: Solve for x
    x = 17,736,924,941.65/152,357.86
  6. Step 6: Final answer
    x = 116,416.22

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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.