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Finding the Fourth Proportional to 70,483, 97,257.60 and 38,643.52

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Solution

The fourth proportional to 70,483, 97,257.60 and 38,643.52 is: 53,323.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,483 : 97,257.60 = 38,643.52 : x
  2. Step 2: Convert to fraction form
    70,483/97,257.60 = 38,643.52/x
  3. Step 3: Cross multiply
    70,483x = 97,257.60 × 38,643.52
  4. Step 4: Simplify right side
    70,483x = 3,758,376,010.75
  5. Step 5: Solve for x
    x = 3,758,376,010.75/70,483
  6. Step 6: Final answer
    x = 53,323.16

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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.