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Finding the Fourth Proportional to 153,307.84, 211,564.32 and 85,324.48

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Solution

The fourth proportional to 153,307.84, 211,564.32 and 85,324.48 is: 117,747.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,307.84 : 211,564.32 = 85,324.48 : x
  2. Step 2: Convert to fraction form
    153,307.84/211,564.32 = 85,324.48/x
  3. Step 3: Cross multiply
    153,307.84x = 211,564.32 × 85,324.48
  4. Step 4: Simplify right side
    153,307.84x = 18,051,615,590.55
  5. Step 5: Solve for x
    x = 18,051,615,590.55/153,307.84
  6. Step 6: Final answer
    x = 117,747.50

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1.5x scale

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.