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Finding the Fourth Proportional to 153,308, 211,533.18 and 89,633.48

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Solution

The fourth proportional to 153,308, 211,533.18 and 89,633.48 is: 123,675.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,308 : 211,533.18 = 89,633.48 : x
  2. Step 2: Convert to fraction form
    153,308/211,533.18 = 89,633.48/x
  3. Step 3: Cross multiply
    153,308x = 211,533.18 × 89,633.48
  4. Step 4: Simplify right side
    153,308x = 18,960,455,058.87
  5. Step 5: Solve for x
    x = 18,960,455,058.87/153,308
  6. Step 6: Final answer
    x = 123,675.58

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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.