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Finding the Fourth Proportional to 159,322.95, 238,929.35 and 70,638.48

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Solution

The fourth proportional to 159,322.95, 238,929.35 and 70,638.48 is: 105,933.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,322.95 : 238,929.35 = 70,638.48 : x
  2. Step 2: Convert to fraction form
    159,322.95/238,929.35 = 70,638.48/x
  3. Step 3: Cross multiply
    159,322.95x = 238,929.35 × 70,638.48
  4. Step 4: Simplify right side
    159,322.95x = 16,877,605,758.20
  5. Step 5: Solve for x
    x = 16,877,605,758.20/159,322.95
  6. Step 6: Final answer
    x = 105,933.30

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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.