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Finding the Fourth Proportional to 153,315.84, 211,573.44 and 85,332

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Solution

The fourth proportional to 153,315.84, 211,573.44 and 85,332 is: 117,756.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,315.84 : 211,573.44 = 85,332 : x
  2. Step 2: Convert to fraction form
    153,315.84/211,573.44 = 85,332/x
  3. Step 3: Cross multiply
    153,315.84x = 211,573.44 × 85,332
  4. Step 4: Simplify right side
    153,315.84x = 18,053,984,782.08
  5. Step 5: Solve for x
    x = 18,053,984,782.08/153,315.84
  6. Step 6: Final answer
    x = 117,756.81

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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.