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Finding the Fourth Proportional to 211,967.62, 317,259.15 and 155,792.86

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Solution

The fourth proportional to 211,967.62, 317,259.15 and 155,792.86 is: 233,180.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,967.62 : 317,259.15 = 155,792.86 : x
  2. Step 2: Convert to fraction form
    211,967.62/317,259.15 = 155,792.86/x
  3. Step 3: Cross multiply
    211,967.62x = 317,259.15 × 155,792.86
  4. Step 4: Simplify right side
    211,967.62x = 49,426,710,339.67
  5. Step 5: Solve for x
    x = 49,426,710,339.67/211,967.62
  6. Step 6: Final answer
    x = 233,180.48

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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.