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Finding the Fourth Proportional to 180,465, 249,038.10 and 99,892.50

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Solution

The fourth proportional to 180,465, 249,038.10 and 99,892.50 is: 137,849.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,465 : 249,038.10 = 99,892.50 : x
  2. Step 2: Convert to fraction form
    180,465/249,038.10 = 99,892.50/x
  3. Step 3: Cross multiply
    180,465x = 249,038.10 × 99,892.50
  4. Step 4: Simplify right side
    180,465x = 24,877,038,404.25
  5. Step 5: Solve for x
    x = 24,877,038,404.25/180,465
  6. Step 6: Final answer
    x = 137,849.66

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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.