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Finding the Fourth Proportional to 180,792, 249,492.96 and 105,340.50

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Solution

The fourth proportional to 180,792, 249,492.96 and 105,340.50 is: 145,369.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,792 : 249,492.96 = 105,340.50 : x
  2. Step 2: Convert to fraction form
    180,792/249,492.96 = 105,340.50/x
  3. Step 3: Cross multiply
    180,792x = 249,492.96 × 105,340.50
  4. Step 4: Simplify right side
    180,792x = 26,281,713,152.88
  5. Step 5: Solve for x
    x = 26,281,713,152.88/180,792
  6. Step 6: Final answer
    x = 145,369.89

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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.