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Finding the Fourth Proportional to 180,672, 249,220.16 and 109,009.60

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Solution

The fourth proportional to 180,672, 249,220.16 and 109,009.60 is: 150,368.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,672 : 249,220.16 = 109,009.60 : x
  2. Step 2: Convert to fraction form
    180,672/249,220.16 = 109,009.60/x
  3. Step 3: Cross multiply
    180,672x = 249,220.16 × 109,009.60
  4. Step 4: Simplify right side
    180,672x = 27,167,389,953.54
  5. Step 5: Solve for x
    x = 27,167,389,953.54/180,672
  6. Step 6: Final answer
    x = 150,368.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.