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Finding the Fourth Proportional to 144,207, 216,388.26 and 70,335

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Solution

The fourth proportional to 144,207, 216,388.26 and 70,335 is: 105,540.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,207 : 216,388.26 = 70,335 : x
  2. Step 2: Convert to fraction form
    144,207/216,388.26 = 70,335/x
  3. Step 3: Cross multiply
    144,207x = 216,388.26 × 70,335
  4. Step 4: Simplify right side
    144,207x = 15,219,668,267.10
  5. Step 5: Solve for x
    x = 15,219,668,267.10/144,207
  6. Step 6: Final answer
    x = 105,540.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.