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Finding the Fourth Proportional to 153,648, 230,510.88 and 42,840

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Solution

The fourth proportional to 153,648, 230,510.88 and 42,840 is: 64,270.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,648 : 230,510.88 = 42,840 : x
  2. Step 2: Convert to fraction form
    153,648/230,510.88 = 42,840/x
  3. Step 3: Cross multiply
    153,648x = 230,510.88 × 42,840
  4. Step 4: Simplify right side
    153,648x = 9,875,086,099.20
  5. Step 5: Solve for x
    x = 9,875,086,099.20/153,648
  6. Step 6: Final answer
    x = 64,270.84

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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.