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Finding the Fourth Proportional to 152,911, 211,017.18 and 85,843

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Solution

The fourth proportional to 152,911, 211,017.18 and 85,843 is: 118,463.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,911 : 211,017.18 = 85,843 : x
  2. Step 2: Convert to fraction form
    152,911/211,017.18 = 85,843/x
  3. Step 3: Cross multiply
    152,911x = 211,017.18 × 85,843
  4. Step 4: Simplify right side
    152,911x = 18,114,347,782.74
  5. Step 5: Solve for x
    x = 18,114,347,782.74/152,911
  6. Step 6: Final answer
    x = 118,463.34

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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.