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Finding the Fourth Proportional to 153,509.90, 211,829.18 and 85,519.94

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Solution

The fourth proportional to 153,509.90, 211,829.18 and 85,519.94 is: 118,009.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,509.90 : 211,829.18 = 85,519.94 : x
  2. Step 2: Convert to fraction form
    153,509.90/211,829.18 = 85,519.94/x
  3. Step 3: Cross multiply
    153,509.90x = 211,829.18 × 85,519.94
  4. Step 4: Simplify right side
    153,509.90x = 18,115,618,763.85
  5. Step 5: Solve for x
    x = 18,115,618,763.85/153,509.90
  6. Step 6: Final answer
    x = 118,009.45

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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.