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Finding the Fourth Proportional to 180,491.84, 249,070.65 and 99,913.67

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Solution

The fourth proportional to 180,491.84, 249,070.65 and 99,913.67 is: 137,876.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,491.84 : 249,070.65 = 99,913.67 : x
  2. Step 2: Convert to fraction form
    180,491.84/249,070.65 = 99,913.67/x
  3. Step 3: Cross multiply
    180,491.84x = 249,070.65 × 99,913.67
  4. Step 4: Simplify right side
    180,491.84x = 24,885,562,730.79
  5. Step 5: Solve for x
    x = 24,885,562,730.79/180,491.84
  6. Step 6: Final answer
    x = 137,876.39

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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.