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Finding the Fourth Proportional to 122,706.40, 183,800.40 and 101,970.40

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Solution

The fourth proportional to 122,706.40, 183,800.40 and 101,970.40 is: 152,740.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,706.40 : 183,800.40 = 101,970.40 : x
  2. Step 2: Convert to fraction form
    122,706.40/183,800.40 = 101,970.40/x
  3. Step 3: Cross multiply
    122,706.40x = 183,800.40 × 101,970.40
  4. Step 4: Simplify right side
    122,706.40x = 18,742,200,308.16
  5. Step 5: Solve for x
    x = 18,742,200,308.16/122,706.40
  6. Step 6: Final answer
    x = 152,740.20

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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.