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Finding the Fourth Proportional to 70,506, 105,763.32 and 21,258

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Solution

The fourth proportional to 70,506, 105,763.32 and 21,258 is: 31,888.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,506 : 105,763.32 = 21,258 : x
  2. Step 2: Convert to fraction form
    70,506/105,763.32 = 21,258/x
  3. Step 3: Cross multiply
    70,506x = 105,763.32 × 21,258
  4. Step 4: Simplify right side
    70,506x = 2,248,316,656.56
  5. Step 5: Solve for x
    x = 2,248,316,656.56/70,506
  6. Step 6: Final answer
    x = 31,888.30

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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.