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Finding the Fourth Proportional to 153,509.91, 211,859.18 and 85,537.95

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Solution

The fourth proportional to 153,509.91, 211,859.18 and 85,537.95 is: 118,051.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,509.91 : 211,859.18 = 85,537.95 : x
  2. Step 2: Convert to fraction form
    153,509.91/211,859.18 = 85,537.95/x
  3. Step 3: Cross multiply
    153,509.91x = 211,859.18 × 85,537.95
  4. Step 4: Simplify right side
    153,509.91x = 18,121,999,945.88
  5. Step 5: Solve for x
    x = 18,121,999,945.88/153,509.91
  6. Step 6: Final answer
    x = 118,051.01

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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.