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Finding the Fourth Proportional to 153,501.16, 211,850.98 and 86,433

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Solution

The fourth proportional to 153,501.16, 211,850.98 and 86,433 is: 119,288.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,501.16 : 211,850.98 = 86,433 : x
  2. Step 2: Convert to fraction form
    153,501.16/211,850.98 = 86,433/x
  3. Step 3: Cross multiply
    153,501.16x = 211,850.98 × 86,433
  4. Step 4: Simplify right side
    153,501.16x = 18,310,915,754.34
  5. Step 5: Solve for x
    x = 18,310,915,754.34/153,501.16
  6. Step 6: Final answer
    x = 119,288.45

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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.