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Finding the Fourth Proportional to 156,802.34, 216,476.88 and 103,242.98

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Solution

The fourth proportional to 156,802.34, 216,476.88 and 103,242.98 is: 142,534.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,802.34 : 216,476.88 = 103,242.98 : x
  2. Step 2: Convert to fraction form
    156,802.34/216,476.88 = 103,242.98/x
  3. Step 3: Cross multiply
    156,802.34x = 216,476.88 × 103,242.98
  4. Step 4: Simplify right side
    156,802.34x = 22,349,718,192.30
  5. Step 5: Solve for x
    x = 22,349,718,192.30/156,802.34
  6. Step 6: Final answer
    x = 142,534.34

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1.5x scale

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.