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Finding the Fourth Proportional to 97,218, 145,852.92 and 47,970

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Solution

The fourth proportional to 97,218, 145,852.92 and 47,970 is: 71,967.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,218 : 145,852.92 = 47,970 : x
  2. Step 2: Convert to fraction form
    97,218/145,852.92 = 47,970/x
  3. Step 3: Cross multiply
    97,218x = 145,852.92 × 47,970
  4. Step 4: Simplify right side
    97,218x = 6,996,564,572.40
  5. Step 5: Solve for x
    x = 6,996,564,572.40/97,218
  6. Step 6: Final answer
    x = 71,967.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.