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Finding the Fourth Proportional to 210,923.84, 316,489.56 and 98,611.76

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Solution

The fourth proportional to 210,923.84, 316,489.56 and 98,611.76 is: 147,966.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,923.84 : 316,489.56 = 98,611.76 : x
  2. Step 2: Convert to fraction form
    210,923.84/316,489.56 = 98,611.76/x
  3. Step 3: Cross multiply
    210,923.84x = 316,489.56 × 98,611.76
  4. Step 4: Simplify right side
    210,923.84x = 31,209,592,533.23
  5. Step 5: Solve for x
    x = 31,209,592,533.23/210,923.84
  6. Step 6: Final answer
    x = 147,966.17

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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.