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Finding the Fourth Proportional to 153,464.80, 211,814.10 and 103,134.64

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Solution

The fourth proportional to 153,464.80, 211,814.10 and 103,134.64 is: 142,347.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,464.80 : 211,814.10 = 103,134.64 : x
  2. Step 2: Convert to fraction form
    153,464.80/211,814.10 = 103,134.64/x
  3. Step 3: Cross multiply
    153,464.80x = 211,814.10 × 103,134.64
  4. Step 4: Simplify right side
    153,464.80x = 21,845,370,950.42
  5. Step 5: Solve for x
    x = 21,845,370,950.42/153,464.80
  6. Step 6: Final answer
    x = 142,347.76

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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.