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Finding the Fourth Proportional to 153,809.91, 212,232.20 and 102,740.72

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Solution

The fourth proportional to 153,809.91, 212,232.20 and 102,740.72 is: 141,765.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,809.91 : 212,232.20 = 102,740.72 : x
  2. Step 2: Convert to fraction form
    153,809.91/212,232.20 = 102,740.72/x
  3. Step 3: Cross multiply
    153,809.91x = 212,232.20 × 102,740.72
  4. Step 4: Simplify right side
    153,809.91x = 21,804,887,460.32
  5. Step 5: Solve for x
    x = 21,804,887,460.32/153,809.91
  6. Step 6: Final answer
    x = 141,765.17

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1.5x scale

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.