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Finding the Fourth Proportional to 97,684.88, 134,675.90 and 70,438.16

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Solution

The fourth proportional to 97,684.88, 134,675.90 and 70,438.16 is: 97,111.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,684.88 : 134,675.90 = 70,438.16 : x
  2. Step 2: Convert to fraction form
    97,684.88/134,675.90 = 70,438.16/x
  3. Step 3: Cross multiply
    97,684.88x = 134,675.90 × 70,438.16
  4. Step 4: Simplify right side
    97,684.88x = 9,486,322,592.34
  5. Step 5: Solve for x
    x = 9,486,322,592.34/97,684.88
  6. Step 6: Final answer
    x = 97,111.47

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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.