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Finding the Fourth Proportional to 147,700, 221,642.16 and 60,148

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Solution

The fourth proportional to 147,700, 221,642.16 and 60,148 is: 90,259.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,700 : 221,642.16 = 60,148 : x
  2. Step 2: Convert to fraction form
    147,700/221,642.16 = 60,148/x
  3. Step 3: Cross multiply
    147,700x = 221,642.16 × 60,148
  4. Step 4: Simplify right side
    147,700x = 13,331,332,639.68
  5. Step 5: Solve for x
    x = 13,331,332,639.68/147,700
  6. Step 6: Final answer
    x = 90,259.53

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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.