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Finding the Fourth Proportional to 180,485.63, 249,072.14 and 99,914.50

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Solution

The fourth proportional to 180,485.63, 249,072.14 and 99,914.50 is: 137,883.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,485.63 : 249,072.14 = 99,914.50 : x
  2. Step 2: Convert to fraction form
    180,485.63/249,072.14 = 99,914.50/x
  3. Step 3: Cross multiply
    180,485.63x = 249,072.14 × 99,914.50
  4. Step 4: Simplify right side
    180,485.63x = 24,885,918,332.03
  5. Step 5: Solve for x
    x = 24,885,918,332.03/180,485.63
  6. Step 6: Final answer
    x = 137,883.10

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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.