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Finding the Fourth Proportional to 96,970.40, 145,378.80 and 53,194.40

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Solution

The fourth proportional to 96,970.40, 145,378.80 and 53,194.40 is: 79,749.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,970.40 : 145,378.80 = 53,194.40 : x
  2. Step 2: Convert to fraction form
    96,970.40/145,378.80 = 53,194.40/x
  3. Step 3: Cross multiply
    96,970.40x = 145,378.80 × 53,194.40
  4. Step 4: Simplify right side
    96,970.40x = 7,733,338,038.72
  5. Step 5: Solve for x
    x = 7,733,338,038.72/96,970.40
  6. Step 6: Final answer
    x = 79,749.47

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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.